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Finding the Fourth Proportional to 15,940.13, 23,899.94 and 6,074.02

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Solution

The fourth proportional to 15,940.13, 23,899.94 and 6,074.02 is: 9,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,940.13 : 23,899.94 = 6,074.02 : x
  2. Step 2: Convert to fraction form
    15,940.13/23,899.94 = 6,074.02/x
  3. Step 3: Cross multiply
    15,940.13x = 23,899.94 × 6,074.02
  4. Step 4: Simplify right side
    15,940.13x = 145,168,623.44
  5. Step 5: Solve for x
    x = 145,168,623.44/15,940.13
  6. Step 6: Final answer
    x = 9,107.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.